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Physics for Scientists and Engineers: Foundations and Connections
- If the pole makes an angle of 25° with the horizontal, the distance between the point where the line is attached to the pole and the anglers hand is L = 2.45 m, and the fish pulls on the line such that the tension in the line is T = 166 N at an angle 35.0° below the horizontal, determine the magnitude (in N · m) of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand.arrow_forwardThe center of gravity of a 3.00 {\rm kg} irregular object You need to move the center of gravity 2.00 {\rm cm} to the left by gluing on a 2.00 \rm kg mass, which will then be considered as part of the object. Where should the center of gravity of this additional mass be located? Express your answer with the appropriate units.arrow_forwardProblem 11b asks for the x-component of the force on the bridge due to the hinge. Answer in Newtons. This time, the computer will choose the numbers. θ = 17o d = 1.1 m ℓ = 9 m M = 2000 kg Cable's distance from the hinge (5 m in the text) is c = 6.7 m h = 12 m Lot's mass (1000 kg in the text) is m = 1200 kgarrow_forward
- Calculate the magnitude of the total torque in the center of a square, giving that the square side equals 40 cm. Forces Fx = 5 N, Fy = 4 N are applied to the neighboring vertices and the vectors of Fx and Fy forces are parallel to each other with the same senses. ANSWER IN N(M)arrow_forwarda horizontal scaffold, of length 2.00 m and uniform mass 50.0 kg, is suspended from a building by two cables. The scaffold has dozens of paint cans stacked on it at various points. The total mass of the paint cans is 75.0 kg. The tension in the cable at the right is 722 N. How far horizontally from that cable is the center of mass of the system of paint cans?arrow_forwardA beam of length 5.4 meters is attached to the ground by a pin and is being held up by a horizontal wire. A block is hanging off the beam with x = 3.6 meters from the pin as shown. If the horizontal wire has a tension of 986 Newtons and theta = 53.9 degrees, what is the magnitude of the torque exerted by the horizontal wire on the beam about the pin?arrow_forward
- A hollow spherical shell with mass 1.50 kg rolls without slipping down a slope that makes an angle of 37.0 degree with the horizontal. a) Find the magnitude of the acceleration of the center of mass of the spherical shell. Take the free-fall acceleration to be g = 9.80 m/s^2. b) Find the magnitude of the frictional force acting on the spherical shell. Take the free-fall acceleration to be g = 9.80 m/s^2.arrow_forwardWhile training for a climb, a climber leans out against a verticle wall ( that has negligible friction). The distance a = 0.85 m and distance L = 1.30 m. Her center of mass is a distance d = 0.65 m from the feet-ground contact point. If she is on the verge of sliding, what is the coefficient of static friction between her feet and the ground?arrow_forwardConsider the following distribution of objects: a 4.00-kg object with its center of gravity at (0, 0) m, a 1.20-kg object at (0, 3.00) m, and a 3.40-kg object at (4.00, 0) m. Where should a fourth object of mass 6.00 kg be placed so that the center of gravity of the four-object arrangement will be at (0, 0)?arrow_forward
- A uniform ladder of mass m = 3.0 kg and length L = 2.5 m leans against a smooth (frictionless) wall. The ladder leans so that it makes an angle θ with the rough floor on which it rests. The coefficient of static friction between the floor and the ladder is μs=0.85. With the aid of free body diagram, how small can θ be before the ladder will begin to slide?arrow_forwardOne end (A) of a thin rod rests on a floor, with coefficient of static friction μs. The other end (B) of the rod leans against a frictionless wall. The rod has a length of L and a mass of m. The rod has a uniform density, so the center-of-mass is a distance L/2 from either end. The rod does not move. variables only (m, g, L, θ, μs) a) Draw a free body diagram for the rod clearly showing all forces and where they are applied. Hint: There are four forces! b) On your diagram, draw and label the line of action and lever arm for the weight force about point A. c) What is the torque produced by the weight force about point A? d) Using static equilibrium equations, find the three support forces (two at A, one at B). e) Given the coefficient of static friction μs, what is the smallest possible angle before the rod starts to move?arrow_forwardConsider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. a. What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. b. The triceps muscle at the back of her upper arm has an effective lever arm of 1.95 cm, and she exerts force on the floor at a horizontal distance of 15.5 cm from the elbow joint. Calculate the magnitude of the force in newtons for each triceps muscle. c. How much work in joules does she do if her center of mass rises 0.27 m? d. What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.arrow_forward
- Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill